Marisol is solving the equation 6(x+3)=21. Find her mistake and correct it.
Answers
Answer:
x = 1/2, See Explanation Below
Explanation:
When you solve the equation, you have to take out the 6 first. The mistake is that you Marisol subtracted from 3 directly instead of factoring the x and the 3 out. Below is what you are supposed to do in order to get the right solution.
Step-by-step for Equation:
6(x+3) = 21
6x + 18 = 21
6x = 21 - 18
6x = 3
x = 3/6
x = 1/2
I hope this helps! If you are kind enough, please give me the brainliest answer. It is greatly appreciated if so. Thank You!
6(x+3)=21
6 times X would be 6x
6 time three would be 18
You always wanna do what’s in parentheses first
So now your problem would be 6x+18=21
Now you subtract 18 from 21 to get the 6x by itself and it would look like this now 6x=3
Now divide 6 by itself and by 3 and you would get x=3
Related Questions
Jenna has a spool that contains 5 and 3/4 meters of ribbon. She uses 3 and 2/4 meters for a school project and 1 and 1/4 meters for a bow. How much ribbon remains on the spool?
Answers
Answer:
It will be 1 0/4
Step-by-step explanation:
The 4 stays the same because its the denominater.
After using some of her ribbon for a project and a bow, Jenna has 1 meter of ribbon left on the spool.
Jenna has a spool that contains 5 and 3/4 meters of ribbon. She uses 3 and 2/4 meters for a school project and 1 and 1/4 meters for a bow. To find out how much ribbon remains on the spool, we need to subtract the total amount of ribbon used from the initial amount.
First, let's simplify the fractions. 3 and 2/4 meters can be simplified to 3 and 1/2 meters because 2/4 is equivalent to 1/2.
Next, we add the lengths of ribbon used for the project and the bow together: 3 and 1/2 meters + 1 and 1/4 meters = 4 and 3/4 meters.
Finally, we subtract this amount from the total amount of ribbon Jenna had: 5 and 3/4 meters - 4 and 3/4 meters = 1 meter.
Therefore, after using ribbon for a school project and a bow, Jenna has 1 meter of ribbon left on the spool.
30PTs PLZ HelpASAP
10)
The inequality x < 5.4 represents the possible values for x on a number line.
Which is a possible value for x?
A) −4.5
B) 5.8
C) 6.5
D) 7.2
Answers
Factor: 4b^3 - 12b^2 - 9b + 27
Answers
Answer:
(2b - 3)(2b + 3)(b - 3)
Step-by-step explanation:
4b³ - 9b - 12b² + 27
b(4b² - 9) - 3(4b² - 9)
(4b² - 9)(b - 3)
(2b - 3)(2b + 3)(b - 3)
Answer:
[tex](4b^{2}-9)(b-3)[/tex]
Step-by-step explanation:
In order to factor this expression you need to factor by grouping.
First focus on factoring the first two terms them factor the last two terms
1. Lets focus on the first 2 terms:
[tex]4b^{3} -12b^{2}[/tex] (You can factor out [tex]4b^{2}[/tex])
[tex]4b^{2} (b-3)[/tex] (this is what you're left with
2. Lets focus on the last 2 terms:
[tex]-9b+27[/tex] (You can factor our a -9)
[tex]-9(b-3)[/tex] (this is what you're left with
3. Now lets put both of the factored parts together:
[tex]4b^{2} (b-3)-9(b-3)[/tex] (Since both equations have the factor (b-3) in common that is one of our answers) (pull out that factor)
[tex](b-3)[/tex]
Now whatever is left create the second factor:
[tex](4b^{2} -9)[/tex]
So, [tex](4b^{2} -9)(b-3)[/tex] are the factors that make this expression.
You can double check that these are the right factors by using the FOIL method.
If you use the FOIL method it forms the original expression [tex]4b^{3} -12b^{2} -9b+27[/tex]
so we know for sure these are the right factors.
I will upload an image of how to use the FOIL method.
FOIL stand for Front, Outer, Inner, Last
Hey can someone please help 15 points
Answers
Answer:
See attachment (red rectangle)
Step-by-step explanation:
Since the upper left is at (-4,4) and upper-right is at (4,4)
The length of the rectangle is
[tex]l = |4 - - 4| = 8[/tex]
Since the perimeter is 20, we have:
[tex]20 = 2(8 + w)[/tex]
[tex]10 = 8 + w[/tex]
[tex]w = 2[/tex]
Therefore we need to draw a rectangle with dimension 8 by 2
Think about the following sentence from the paragraph:
"Although a mouse is still a rodent and cookies are still delicious, these words have developed new meanings related to the information age."
Which statement best describes the purpose of this sentence?
A) The sentence introduces readers to the paragraph's main idea.
B) The sentence summarizes language changes caused by technology.
C) The sentence helps readers transition to a completely new idea.
D) The sentence warns readers about negative influences of technology.
Answers
Answer:
A) The sentence introduces readers to the paragraphs main idea.
Step-by-step explanation:
It does not talk about technology, it is not a new idea, and it is not saying anything negative.
Answer:
B
Step-by-step explanation:
I just got it right :)
Evaluate the expression,
if x=12, y=8, and z=3
2xy – z
Answers
Answer: 189
Step-by-step explanation:
Substitute the value of x, y and z into the equation to give: 2 (12) (8) -3
Then apply BODMAS
2 (96) - 3
192-3= 189
Big Al’s Steak House and Trail’s End both claim to have the shortest wait times in town. To check out the claims, Ramon, a restaurant reviewer, records the time it takes to be seated without reservations. The results of wait times for 8 visits to each restaurant are shown in the table.
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
A)Describe the populations and samples for this problem.
B)Calculate the mean wait time for each of the two restaurants.
Answers
Answer:
a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
b) [tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Step-by-step explanation:
Part a
For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
Part b
For this case we can calculate the mean with the following formula:
[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Determine which functions have two real number zeros by calculating the discriminant, b2 - 4ac. Check all that
apply
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 - 12x + 32
k(x) = x2 + 4x - 1
p(x) = 5x2 + 5x + 4
t(x) = x2 - 2x - 15
Answers
Answer:
A, C, D, F
Step-by-step explanation:
Just did it on Ed
Would you mind giving me the brainliest?
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of priem
Answers
The ratio of the volume of the pyramid to the volume of the prism is 1:1
Volume of pyramid and prism
The formula for calculating the volume of a pyramid is expressed as;
V = 1/3 BH
The formula for calculating the volume of prism is expressed as:
V = Bh
where
B is the base area
H is the height
If the height of pyramid is three times the height of the prism, the volume of pyramis will be:
V = 1/3B * 3h
Take the ratio of their volumes
Vp/Vr = 3Bh/3Bh
Vp/Vr = 1 : 1
Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1
Learn more on volume of pyramid and prism here: https://brainly.com/question/1366127
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express 3.14x10 to the power of -2 in ordinary form
Answers
Answer:
Step-by-step explanation:
[tex]3.14*10^{-2}=\frac{3.14}{10^{2}}\\\\=\frac{3.14}{100}=0.0314[/tex]
Good morning ☕️
Answer:
0.0314Step-by-step explanation:
3.14x10⁻²
since 10 is raised to a negative number (-2)
then we just need to move the decimal point in the number 3.14 two steps to the left ,like this :
3.14x10⁻² = 0.0314
by the way 3.14 = 003.14
__________________________________________________________
:)
a player purchased 4 jerseys for a total of $79.96. write an equation that can be used to find the cost of each jersey,n,in dollars
Answers
cost of each jersey is $19.99 .
Step-by-step explanation:
Here we have , a player purchased 4 jerseys for a total of $79.96. We need to write an equation that can be used to find the cost of each jersey,n,in dollars .Let's write it :
Assume that price of one jersey is $x , so price of 4 jersey's is 4($x) = $4x . But , according to question value of 4 jersey's is $79.96 i.e.
⇒ [tex]4x = 79.96[/tex]
⇒ [tex]\frac{4}{4}x = \frac{79.96}{4}[/tex]
⇒ [tex]x = 19.99[/tex]
Therefore , cost of each jersey is $19.99 .
A= {1,3,5,7,9} B={2,4,6,8,10} C={1,5,6,7,9} AUB=
Answers
Answer:
Step-by-step explanation:
What the heck is that more info please
Find g-1(x) when g(x)=3/5x-9
Answers
Answer:
[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]
Step-by-step explanation:
let y = g(x) and rearrange making x the subject
y = [tex]\frac{3}{5}[/tex] x - 9 ( add 9 to both sides )
y + 9 = [tex]\frac{3}{5}[/tex] x
Multiply both sides by 5 to clear the fraction
5y + 45 = 3x ( divide both sides by 3 )
[tex]\frac{5y+45}{3}[/tex] = x
Change y back into terms of x, thus
[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]
The inverse is g⁻¹(x) = (5/3)*(x + 9)
How to find the inverse?
for a function f(x), the inverse f⁻¹(x) is defined as:
if f(x) = y
f⁻¹(y) = x
For this case, we can write:
g(g⁻¹(x)) = x
(3/5)*g⁻¹(x) - 9 = x
(3/5)*g⁻¹(x) = x + 9
g⁻¹(x) = (5/3)*(x + 9)
How do you graph y=4x-3
Answers
The graph of the line y=4x-3 is attached below.
What is a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function is given as y=4x-3
Here the point (0,-3) lies on the line because -3 is the y-intercept(b) in the equation y=mx+b.
Next, we would plot the next point 4 units up and to the right once because 4/1 is rise/run and equal to m in the equation.
Therefore, the graph of the line is attached below.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
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of the measure of one exterior angle of a regular polygon is 40 degrees, how many sides does the polygon have?
Answers
Answer:
9 sides
Step-by-step explanation:
Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
3x − 4y = 12
2x + 6y = 18
Choose all of the equations that could be used when solving this system by substitution.
x = 9 − 3y
y = 18 − 3x
y = 3x + 3
x = 4
3
y + 4
Answers
Answer: x = 9 -3y
Step-by-step explanation:
Hi, to answer this question we have to solve the system by substitution:
a)3x − 4y = 12
b)2x + 6y = 18
If we isolate "y" on b)
2x + 6y = 18
2x = 18 -6y
x = 18/2 - 6/2y
x = 9 -3y is a possible equation
Doing the same thing with the other equation a) , and isolating "y" in both expressions, the only possible equation is the one founded above.
Which statement is false and why
Answers
Answer: option 2
Step-by-step explanation:
From the pie chart, Christiana spends over 60% of her time on working and sleeping
Also, Christiana spends half of her time on sleep, chores and other activities .
Answer: 2 is false.
Step-by-step explanation:
Christina spends exactly a quarter of her time on chores and hobbies.
Solve Two-thirds x minus one-fifth greater-than 1.
Answers
Answer:
9/5
Step-by-step explanation:
do the math got it correct
On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .
two thirds = [tex]\frac{2}{3}[/tex] & one fifth = [tex]\frac{1}{5}[/tex]
∴ The expression becomes [tex]\frac{2}{3}x \ - \frac{1}{5} > 1[/tex] .
Solving the given equation for the value of x.
[tex]\frac{2}{3}x \ - \frac{1}{5} > 1[/tex]
∴ [tex]\frac{2}{3}x \ > \frac{1}{5} + 1[/tex]
∴ [tex]x \ > \frac{6}{5}[/tex] × [tex]\frac{3}{2}[/tex]
∴ [tex]x \ > \frac{9}{5}[/tex]
Thus, On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .
Learn more about Algebraic Expressions here:
https://brainly.com/question/4344214
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I need help please help
Answers
Answer:
[6, 18]
Step-by-step explanation:
the first matrix has the dimensions 1 x 2 (1 row, 2 columns). The send has the dimensions 2 x 2. Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.
Multiply the column -2, 7 by the row 4, 2:
We get (-2)(4) + (7)(2), which simplfies to 6. This is the first element of the 1 x 2 product.
Multiply the column 5, -1 by the row 4, 2: We get (5)(4) + (-1)(2), or 18.
The fourth answer choice is the correct one: [6, 18]
Twice the number of a number 9 is 6
Answers
Answer:
number = 1/3
Step-by-step explanation:
let the required number = x
according to the given conditions
2 * x * 9 = 6
18x = 6
x = 6/18 = 1/3
(-5.6x + 1.3) = -1 - x.
Answers
Answer: X= 0.5
Step-by-step explanation:
(-5.6x+1.3)=-1-x
+5.6x +5,6x
1.3=-1+4.6x
+1 +1
2.3=4.6x
divide by 4.6 to get x by itself
2.3/4.6 = x
x=0.5
please mark brainliest!
Answer
x=1/2
Step-by-step explanation:
open the parenthesis to get -5.6x+1.3=-1-x
move the variable to the left and numbers to the right
-4.6x=-2.3
now solve by dividing 2.3 by -4.6
you get x=1/2
A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford? Explain or show your reasoning.
Answers
Answer:
5 pizzas
Step-by-step explanation:
He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.
Answer: 2.50
Step-by-step explanation:
Daniel brought 2 notebooks and a pack of pens for $8. Jose bought 3 notebooks and a pack of pens for $11. What is the cost of a pack of pens?
Answers
Answer:
3-2 notebooks= 11$-8$=3 $
so 2 notebooks= 2*3=6 $
so a pack of pens is 8$-6$=2$
Step-by-step explanation:
The cost of a pack of pens is $2 and it can be determined by using a system of equations.
Given that,
Daniel brought 2 notebooks and a pack of pens for $8.
Jose bought 3 notebooks and a pack of pens for $11.
We have to determine,
What is the cost of a pack of pens?
According to the question,
Let, the cost of notebook be x,
And the cost of a pack of pens is y.
Daniel brought 2 notebooks and a pack of pens for $8.
2x + y = 8
Jose bought 3 notebooks and a pack of pens for $11.
3x + y = 11
On subtracting both the equation
2x + y - (3x + y ) = 8-11
2x + y -3x -y = -3
-x = -3
x = 3
Substitute the value of x in the equation 1,
2x + y = 8
2(3) + y = 8
6 + y = 8
y = 8-6
y = 2
Hence, The cost of the notebook is $3 and the cost of a pack of pens is $2.
To know more about System of Equation click the link given below.
https://brainly.com/question/16481292
what is the positive square root of 100
Answers
Answer:
10.
Step-by-step explanation:
10 because 10 * 10 = 100.
There us also a negative square root -10.
Answer:
10
Step-by-step explanation:
I need help with finding x
ANSWER ASAP!!!!!!!!!!
Answers
The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
Sum of the all the angles of a triangle = 180°
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
Find the slope of (1,6) and (10,-9
Answers
Answer:
-5/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-6)/(10-1)
m=-15/9
simplify
m=-5/3
according to a recipe, 9/20 oz, of sugar is needed to make 6 cookies. Ashley decided to use only a third of the sugar to make it healthier. how much sugar did Ashley use?
Answers
Answer:
The amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz
Step-by-step explanation:
The amount of sugar needed to make 6 cookies = (9/20) oz
So, the total amount of sugar to be used = (9/20) oz
Let us assume the sugar actually used by Ashley = M oz
Also, given:
Sugar Used = One third of SUGAR NEEDED
[tex]\implies M = (\frac{1}{3}) \times (\frac{9}{20})[/tex]
= [tex](\frac{3}{20} )[/tex] = 0.15 oz
or M = 0.15 oz
Hence, the amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz.
I'm a little confused about a math lesson about equations with variables on both sides. Could someone explain this to me.
Heres a random question: Solve for m 4m + 2(m + 1) = 9m + 5?
Answers
A window box in the shape of a rectangular prism is 7 inches long and 4 inches wide. It holds 168 cubic inches of dirt. What is its height?
Answers
Answer:
6 inches
Step-by-step explanation:
The formula for volume is length*width*height. Following this,
7*4*h=168
28h=168
h=6
Answer:
The height is 6 inches
Step-by-step explanation:
7 x 4= 28
28 x 6=168
The image of (6, 9) under a dilation is (4, 6).
The scale factor is
0-2
O 2/3
0 -2/3
Answers
The scale factor of the dilation is 2/3. This means that the image point is two-thirds the distance from the original point to the center of dilation.
To find the scale factor of the dilation, we can use the formula:
[tex]\[ \text{scale factor} = \frac{\text{image point}}{\text{original point}} \][/tex]
Given that the image of (6, 9) under the dilation is (4, 6), we can substitute these values into the formula:
[tex]\[ \text{scale factor} = \frac{(4, 6)}{(6, 9)} \]\[ \text{scale factor} = \left( \frac{4}{6}, \frac{6}{9} \right) \][/tex]
Simplifying the fractions:
[tex]\[ \text{scale factor} = \left( \frac{2}{3}, \frac{2}{3} \right) \][/tex]
B. The scale factor is 2/3
To determine the scale factor of the dilation, we need to compare the coordinates of the original point 6, 9 and its image 4 , 6
The formula for dilation of a point x, y by a scale factor k is:
[tex]\[(x', y') = (kx, ky)\][/tex]
Given:
- Original point 6 , 9
- Image point 4 , 6
We need to find the scale factor k such that:
[tex]\[4 = k * 6 \quad \text{and} \quad 6 = k * 9\][/tex]
Let's solve these equations.
1. 4 = 6k
[tex]\[k = \frac{4}{6} = \frac{2}{3}\][/tex]
2. 6 = 9k
[tex]\[k = \frac{6}{9} = \frac{2}{3}\][/tex]
Both equations give the same scale factor of 2/3.
Question
The image of (6, 9) under a dilation is (4, 6).
The scale factor is
A. -2
B 2/3
C -2/3